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Re: Perfect Square [#permalink]
18 Aug 2012, 02:22
1
This post received KUDOS
hussi9 wrote:
For which value of n below is a perfect square
(2^8)+(2^11)+(2^n)
Use the formula for \((a+b)^2=a^2+2ab+b^2.\) Since \(2^8+2^{11}=(2^4)^2+2*2^4*2^6\), we need an extra term, that of \((2^6)^2=2^{12}\) to complete the expression to a perfect square, \((2^4+2^6)^2.\)
So, \(n\) should be \(12\). _________________
PhD in Applied Mathematics Love GMAT Quant questions and running.
Re: Perfect Square [#permalink]
18 Aug 2012, 17:51
EvaJager wrote:
hussi9 wrote:
For which value of n below is a perfect square
(2^8)+(2^11)+(2^n)
Use the formula for \((a+b)^2=a^2+2ab+b^2.\) Since \(2^8+2^{11}=(2^4)^2+2*2^4*2^6\), we need an extra term, that of \((2^6)^2=2^{12}\) to complete the expression to a perfect square, \((2^4+2^6)^2.\)
So, \(n\) should be \(12\).
Thank you eva I think this approach is more justified, like it better _________________
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